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23 35 47 59 ?First we need to find the pattern in the sequence. We can do this by working out the gaps between the numbers. To work out the gap, we subtract each number from the next one in the sequence.35 -...

To solve x 2 - 8x + 15 = 0 we could try to use the Product, Sum, Numbers method (PSN). The PSN method tells us that our numbers must multply to make the product of the first and last term, in this case 15. I...

The integration by parts rule looks like this: ∫ u * v' dx = u * v - ∫ ( v * u' ) dx Hence in this example, we want to make our u = x and v' = sinx So we now need to work out what u' and v are: u' = 1 which ...

We are looking for dy/dx, and in this question, the key rule to remember is the chain rule. Therefore the first thing to do is the easy step, take the 3 down and minus 1 from it, this will give 3(6x-13) 2 . ...

We should put the names aside to begin with and just look at the ratio and the price. In order to find out how much the ratio 3, the ratio 4 and the ratio 8 are worth, we need to find out how much the ratio ...